Importing SVG files without losing transparency data
The SVG importer is very basic, it will not deal with any effects used on vector drawing programs, you can only import the path and color, no alpha.
But even if you manage to import the alpha channel, the different paths would end up overlapping on the same plane, creating Z-fighting problems.
An alternative solution would be to rasterize the paths as different images.
Then use the import images as planes and select all of the images at the same time to import.
On the top right of the import window, click on the gear icon to reveal the options for the importer.
There is an option to offset the imported images on a particular axis and determine the offset distance:

If you use the $Z$ axis you should get a lineup like this:

For cycles you might need to increase the number of Transparency bounces in the light path section of the render properties.
You might need to adjust the clip distance for camera and viewport, so that you don't run into Z-fighting issues.